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Finding the Fourth Proportional to 10,594.78, 15,893.99 and 4,358.18

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Solution

The fourth proportional to 10,594.78, 15,893.99 and 4,358.18 is: 6,538.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.78 : 15,893.99 = 4,358.18 : x
  2. Step 2: Convert to fraction form
    10,594.78/15,893.99 = 4,358.18/x
  3. Step 3: Cross multiply
    10,594.78x = 15,893.99 × 4,358.18
  4. Step 4: Simplify right side
    10,594.78x = 69,268,869.34
  5. Step 5: Solve for x
    x = 69,268,869.34/10,594.78
  6. Step 6: Final answer
    x = 6,538.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.